On the computation of the eigenfunctions and dispersion curves of the fundamental vertical spectral problem for the equation of internal gravity waves. (Russian. English summary) Zbl 1119.76310

Bulatov, V. V.; Vladimirov, Y. V.

Mat. Model. 19, No. 2, 59-67 (2007).

Authors’ summary: The authors consider numerical algorithms for determining the dispersion curves and eigenfunctions of the fundamental vertical spectral problem for the equation of internal gravity waves in a ayer of an arbitrarily stratified medium. These algorithms use the analytical properties of spectral problems, which enables one to compute the dispersion curves ‘in the large’ and to study numerically the wave fields from nonlocal sources of perturbations. We give the results of numerical computations for various forms of actual ocean stratification.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

76B55	Internal waves for incompressible inviscid fluids
76M10	Finite element methods applied to problems in fluid mechanics
86-08	Computational methods for problems pertaining to geophysics
86A05	Hydrology, hydrography, oceanography

Keywords:

water waves, gravity waves; eigenvalues